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Finding the Fourth Proportional to 218,709.14, 326,865.35 and 159,669.14

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Solution

The fourth proportional to 218,709.14, 326,865.35 and 159,669.14 is: 238,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709.14 : 326,865.35 = 159,669.14 : x
  2. Step 2: Convert to fraction form
    218,709.14/326,865.35 = 159,669.14/x
  3. Step 3: Cross multiply
    218,709.14x = 326,865.35 × 159,669.14
  4. Step 4: Simplify right side
    218,709.14x = 52,190,309,330.30
  5. Step 5: Solve for x
    x = 52,190,309,330.30/218,709.14
  6. Step 6: Final answer
    x = 238,628.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.